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Finding the Fourth Proportional to 431,078.45, 647,189.93 and 368,301.83

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Solution

The fourth proportional to 431,078.45, 647,189.93 and 368,301.83 is: 552,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,078.45 : 647,189.93 = 368,301.83 : x
  2. Step 2: Convert to fraction form
    431,078.45/647,189.93 = 368,301.83/x
  3. Step 3: Cross multiply
    431,078.45x = 647,189.93 × 368,301.83
  4. Step 4: Simplify right side
    431,078.45x = 238,361,230,499.11
  5. Step 5: Solve for x
    x = 238,361,230,499.11/431,078.45
  6. Step 6: Final answer
    x = 552,941.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.